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Finding the Fourth Proportional to 242,871.30, 364,332.86 and 65,380.86

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Solution

The fourth proportional to 242,871.30, 364,332.86 and 65,380.86 is: 98,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,871.30 : 364,332.86 = 65,380.86 : x
  2. Step 2: Convert to fraction form
    242,871.30/364,332.86 = 65,380.86/x
  3. Step 3: Cross multiply
    242,871.30x = 364,332.86 × 65,380.86
  4. Step 4: Simplify right side
    242,871.30x = 23,820,395,713.06
  5. Step 5: Solve for x
    x = 23,820,395,713.06/242,871.30
  6. Step 6: Final answer
    x = 98,078.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.